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Finding the Third Proportional to 28,757 and 61,885

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Solution

The third proportional to 28,757 and 61,885 is: 133,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,757 : 61,885 = 61,885 : x
  2. Step 2: Convert to fraction form
    28,757/61,885 = 61,885/x
  3. Step 3: Cross multiply
    28,757x = 61,885 × 61,885
  4. Step 4: Simplify right side
    28,757x = 3,829,753,225
  5. Step 5: Solve for x
    x = 3,829,753,225/28,757
  6. Step 6: Final answer
    x = 133,176.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.